Blow-up solutions of a time-fractional diffusion equation with variable exponents

被引：2

作者：

Manimaran, J. ^{[1
]}

Shangerganesh, L. ^{[1
]}

机构：

[1] Natl Inst Technol Goa, Dept Appl Sci, Ponda 403401, Goa, India

来源：

TBILISI MATHEMATICAL JOURNAL | 2019年 / 12卷 / 04期

关键词：

blow-up; time-fractional reaction-diffusion equation; variable exponents; BOUNDARY-VALUE-PROBLEMS; PARABOLIC EQUATIONS; GLOBAL EXISTENCE;

D O I：

10.32513/tbilisi/1578020574

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the blow-up of solutions of a time-fractional nonlocal reaction-diffusion equation with variable exponents under the Dirichlet boundary condition. We prove the existence of a solution using the Banach fixed point theorem. Finally, we estimate the blow-up of solutions of the considered model using the Kaplan method.

引用

页码：149 / 157

页数：9

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